Find the Standardized Test Statistic, T, to Test the Claim $\mu _ { 1 } \neq \mu _ { 2 } .$

Multiple Choice

Find the standardized test statistic, t, to test the claim that $\mu _ { 1 } \neq \mu _ { 2 } .$ Two samples are random, independent, and come from populations that are normally distributed. The sample statistics are given below. Assume that $\sigma \sigma _ { 1 } ^ { 2 } \neq \sigma _{ 2 }^ { 2 } .$ $$\begin{array} { l l } \mathrm { n } _ { 1 } = 11 & \mathrm { n } _ { 2 } = 18 \\\overline { \mathrm { x } } 1 = 6.9 & \overline { \mathrm { x } } 2 = 7.3 \\\mathrm {~s} _ { 1 } = 0.76 & \mathrm {~s} _ { 2 } = 0.51\end{array}$$

A) -1.546
B) -1.821
C) -2.123
D) -1.326